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Finding the Third Proportional to 401,211 and 865,617

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Solution

The third proportional to 401,211 and 865,617 is: 1,867,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,211 : 865,617 = 865,617 : x
  2. Step 2: Convert to fraction form
    401,211/865,617 = 865,617/x
  3. Step 3: Cross multiply
    401,211x = 865,617 × 865,617
  4. Step 4: Simplify right side
    401,211x = 749,292,790,689
  5. Step 5: Solve for x
    x = 749,292,790,689/401,211
  6. Step 6: Final answer
    x = 1,867,577.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.